Question

Suppose a multiple regression model is given by modifying above y with caretequals0.21x 1minus9.52x 2minus28.56. What would an interpretation of the coefficient of x 1 be? Fill in the blank below. An interpretation of the coefficient of x 1 would be, "if x 1 decreases by ?? unit, then the response variable will decrease by nothing units, on average, while holding x 2 constant."

By how many units?

Answer 1

y = 0.21 x1 - 9.52 x2 - 28.56

if x1 decreases by 1 unit, then the response variable will decrease by 0.21 units, on average, while holding x 2 constant